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Finding the Fourth Proportional to 299,181.20, 412,829.21 and 171,856.79

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Solution

The fourth proportional to 299,181.20, 412,829.21 and 171,856.79 is: 237,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,181.20 : 412,829.21 = 171,856.79 : x
  2. Step 2: Convert to fraction form
    299,181.20/412,829.21 = 171,856.79/x
  3. Step 3: Cross multiply
    299,181.20x = 412,829.21 × 171,856.79
  4. Step 4: Simplify right side
    299,181.20x = 70,947,501,795.75
  5. Step 5: Solve for x
    x = 70,947,501,795.75/299,181.20
  6. Step 6: Final answer
    x = 237,138.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.